What is the probability of not getting a 6 when rolling a six-sided die?

Q: What is the probability of not getting a 6 when rolling a six-sided die?

Official answer For a fair die numbered 1–6, P(6) = 1/6. The event “not six” is its complement, so P(not 6) = 1−1/6 = 5/6, about 83.33%. Direct counting gives the same result: faces 1 through 5 qualify. The complement rule still works for a loaded die, but its actual P(6) must replace 1/6.

Question

This question tests the candidate's ability to calculate the complementary probability of an event.

Accepted Answer

Official answer

For a fair die numbered 1–6, P(6) = 1/6. The event “not six” is its complement, so P(not 6) = 1−1/6 = 5/6, about 83.33%.

Direct counting gives the same result: faces 1 through 5 qualify. The complement rule still works for a loaded die, but its actual P(6) must replace 1/6.

What is the probability of not getting a 6 when rolling a six-sided die?

Official answer

Related Questions